(x-5)(x-4)=6

Simple and best practice solution for (x-5)(x-4)=6 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x-5)(x-4)=6 equation: 


Simplifying
(x + -5)(x + -4) = 6

Reorder the terms:
(-5 + x)(x + -4) = 6

Reorder the terms:
(-5 + x)(-4 + x) = 6

Multiply (-5 + x) * (-4 + x)
(-5(-4 + x) + x(-4 + x)) = 6
((-4 * -5 + x * -5) + x(-4 + x)) = 6
((20 + -5x) + x(-4 + x)) = 6
(20 + -5x + (-4 * x + x * x)) = 6
(20 + -5x + (-4x + x2)) = 6

Combine like terms: -5x + -4x = -9x
(20 + -9x + x2) = 6

Solving
20 + -9x + x2 = 6

Solving for variable 'x'.

Reorder the terms:
20 + -6 + -9x + x2 = 6 + -6

Combine like terms: 20 + -6 = 14
14 + -9x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
14 + -9x + x2 = 0

Factor a trinomial.
(2 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {2, 7}

See similar equations:

| (x^2+2x-221)=0 | | (x^2+2-221)=0 | | 2+3(x-6)=2-2(x-1) | | 2x^2-x+42=0 | | 2x^2-x-42=0 | | 3t^2-14t+5=0 | | 37-(x+6)=8x-5 | | x^2+18x+81-45=0 | | 6.3x-3.1=9.5 | | 5(x-5)+8=3(x-5) | | 3x+4(2x+5)=-4-5x | | 4(4x-3)+5=-2 | | n^2-5n-3=y | | 10z-z=-2+5z-2-8 | | (12+8)h=10000 | | -[3z-(14z+1)]=1+(10z+4) | | 6(6t+1)-8=t-(t+1) | | -[3z-(14+1)]=1+(10z+4) | | 6(3a+1)-30=2(2a-4) | | 1+7(x-2)=11-7(x-6) | | 4cos(7x)=4sin(14x) | | 1x+2y=-8 | | -(3g+6)=18 | | 0.6x-0.2(5)=3.8 | | 3x+2y=96 | | 8.4x+94.19=-11.6x+93.63 | | N^2-N-32220=0 | | 7-3(4x-9)=5(2x-11) | | x+x^2=-24 | | 8p-1=5p-1+30 | | 6.5x-3.6=9.4 | | 15.625=scubed |

Equations solver categories